Best Known (27, 27+54, s)-Nets in Base 7
(27, 27+54, 32)-Net over F7 — Constructive and digital
Digital (27, 81, 32)-net over F7, using
- net from sequence [i] based on digital (27, 31)-sequence over F7, using
(27, 27+54, 78)-Net over F7 — Digital
Digital (27, 81, 78)-net over F7, using
- net from sequence [i] based on digital (27, 77)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 27 and N(F) ≥ 78, using
(27, 27+54, 607)-Net in Base 7 — Upper bound on s
There is no (27, 81, 608)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 293 980306 768435 414216 145527 540254 533868 177634 551389 330303 527655 788033 > 781 [i]